Maybe not but I don't recall seeing anybody firing a shot in the video I posted about the whole thing. My reasoning being is that any increase in tensions no matter how insignificant it may appeal may be the catalyst that stops cooler heads from being able to stop this from escalating. History is filled with wars nobody would think could have happened but did. A pig is far from the dumbest reason for war.
It's a step too far even for now. America isn't going to want this war when it's literally tearing itself apart and Britain isn't going to be eager to rush into this war, even if there's an extra push. Maybe if it were one of numerous things with increased focus and higher tensions all piling up, then it could be a spark, but even a fight over a pig might be a step too far then.